The Modified Bi-quintic B-spline base functions: An Application to

Subject Applied Mathematics
Title The Modified Bi-quintic B-spline base functions: An Application to
Author(s) Selçuk KUTLUAY, Nuri Murat YAĞMURLU
Keywords Finite Element Method, Bi-quintic B-splines,Two-dimensional B-splines, Modified bi-quintic B-splines, Two-dimensional Diffusion Equation
Abstract

In this paper, the bi-quintic B-spline base functions are modified on a general 2-dimensional problem and then they are applied to two-dimensional Diffusion problem in order to obtain its numerical solutions. The computed results are compared with the results given in the literature. The error norms $L_{2}$ and $L_{\infty }$ are computed and found to be marginally accurate and efficient.